2401320224032 has 48 divisors (see below), whose sum is σ = 4922298562104. Its totient is φ = 1152172800000.

The previous prime is 2401320224021. The next prime is 2401320224071. The reversal of 2401320224032 is 2304220231042.

It can be written as a sum of positive squares in 4 ways, for example, as 1320394039056 + 1080926184976 = 1149084^2 + 1039676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2401320223988 and 2401320224006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14922219 + ... + 15082282.

Almost surely, 2^{2401320224032} is an apocalyptic number.

It is an amenable number.

2401320224032 is an abundant number, since it is smaller than the sum of its proper divisors (2520978338072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2401320224032 is a wasteful number, since it uses less digits than its factorization.

2401320224032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30004613 (or 30004605 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2401320224032 its reverse (2304220231042), we get a palindrome (4705540455074).

The spelling of 2401320224032 in words is "two trillion, four hundred one billion, three hundred twenty million, two hundred twenty-four thousand, thirty-two".